63689930588160 has 1800 divisors, whose sum is σ = 240933106309896. Its totient is φ = 16092286156800.

The previous prime is 63689930588159. The next prime is 63689930588173. The reversal of 63689930588160 is 6188503998636.

63689930588160 is a `hidden beast` number, since 6 + 3 + 6 + 8 + 9 + 9 + 30 + 588 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 13184916258816 + 50505014329344 = 3631104^2 + 7106688^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 563627704264 + ... + 563627704376.

Almost surely, 2^{63689930588160} is an apocalyptic number.

63689930588160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63689930588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120466553154948).

63689930588160 is an abundant number, since it is smaller than the sum of its proper divisors (177243175721736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63689930588160 is a wasteful number, since it uses less digits than its factorization.

63689930588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 63689930588160 in words is "sixty-three trillion, six hundred eighty-nine billion, nine hundred thirty million, five hundred eighty-eight thousand, one hundred sixty".